Term-End 1 Assessment (2024-25)Social Science Morning Shift Class VII

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CBSE Board Exam 2023 Class 10 ENGLISH (Language and Literature)

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Ganita Prakash Class 8 Chapter 7 Solutions Proportional Reasoning 1

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NCERT Class 8 Maths Chapter 7 Proportional Reasoning 1 Solutions Question Answer Ganita Prakash Class 8 Chapter 7 Solutions Proportional Reasoning 1 NCERT Class 8 Maths Ganita Prakash Chapter 7 Proportional Reasoning 1 Solutions Question Answer Example 1. (i) Are the ratios 3 : 4 and 72 : 96 proportional? (ii) What is the HCF of 72 and 96? (Page 162) Solution: (i) HCF of 3 and 4 = 1 ∴ Ratio  3 4  is in its simplest form. HCF of 72 and 96 = 24 (∵ 72 = 24 × 3 and 96 = 24 × 4) ∴  72 96 = 24 × 3 24 × 4 = 3 4 ∴ Ratio  72 96  in its simplest form is  3 4 . ∴ Ratios 3 : 4 and 72 : 96 are proportional, because both ratios in their simplest form are the same. (ii) HCF of 72 and 96 is equal to 24. Example 2. Kesang wanted to make lemonade for a celebration. She made 6 glasses of lemonade in a vessel and added 10 spoons of sugar to the drink. Her father expected more people to join the celebration. So he asked her to make 18 more glasses of lemonade. To make the lemon...
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Ganita Prakash | Class 8 | Chapter 5 Number Play | Solutions

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Ganita Prakash | Class 8 | Chapter 5 Number Play | Solutions Ganita Prakash  Class 8  Chapter 5 Number Play Solutions  NCERT Class 8 Maths Ganita Prakash Chapter 5 Number Play Solutions Question Answer 5.1 Is This a Multiple Of? Intext Questions Q. 1. Take any 4 consecutive numbers. For example, 3, 4, 5, and 6. Place ‘+’ and signs in between the numbers. How many different possibilities exist? Write all of them. Evaluate each expression and write the result next to it. Do you notice anything interesting? (Page 112) Sol. Take the four consecutive numbers 3, 4, 5, 6. There are 3 gaps between them, and in each gap we can place either ‘+’ or ‘−’. So, total number of possibilities 2 × 2 × 2  = 2³ = 8 When four consecutive numbers are used with all possible combinations of ‘+’ and signs, the results will always be even. This is because, regardless of the sign placement, the sum will always involve adding and subtracting an equal number of consecutive numbers. S...
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